summaryrefslogtreecommitdiffhomepage
path: root/Opcode/Ice/IceAABB.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'Opcode/Ice/IceAABB.cpp')
-rw-r--r--Opcode/Ice/IceAABB.cpp810
1 files changed, 405 insertions, 405 deletions
diff --git a/Opcode/Ice/IceAABB.cpp b/Opcode/Ice/IceAABB.cpp
index 62eec5d..03bca6c 100644
--- a/Opcode/Ice/IceAABB.cpp
+++ b/Opcode/Ice/IceAABB.cpp
@@ -1,405 +1,405 @@
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Contains AABB-related code.
- * \file IceAABB.cpp
- * \author Pierre Terdiman
- * \date January, 29, 2000
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * AABB class.
- * \class AABB
- * \author Pierre Terdiman
- * \version 1.0
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-// Precompiled Header
-#include "StdAfx.h"
-
-using namespace IceMaths;
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Computes the sum of two AABBs.
- * \param aabb [in] the other AABB
- * \return Self-Reference
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-AABB& AABB::Add(const AABB& aabb)
-{
- // Compute new min & max values
- IcePoint Min; GetMin(Min);
- IcePoint Tmp; aabb.GetMin(Tmp);
- Min.Min(Tmp);
-
- IcePoint Max; GetMax(Max);
- aabb.GetMax(Tmp);
- Max.Max(Tmp);
-
- // Update this
- SetMinMax(Min, Max);
- return *this;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Makes a cube from the AABB.
- * \param cube [out] the cube AABB
- * \return cube edge length
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-float AABB::MakeCube(AABB& cube) const
-{
- IcePoint Ext; GetExtents(Ext);
- float Max = Ext.Max();
-
- IcePoint Cnt; GetCenter(Cnt);
- cube.SetCenterExtents(Cnt, IcePoint(Max, Max, Max));
- return Max;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Makes a sphere from the AABB.
- * \param sphere [out] sphere containing the AABB
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-void AABB::MakeSphere(Sphere& sphere) const
-{
- GetExtents(sphere.mCenter);
- sphere.mRadius = sphere.mCenter.Magnitude() * 1.00001f; // To make sure sphere::Contains(*this) succeeds
- GetCenter(sphere.mCenter);
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Checks a box is inside another box.
- * \param box [in] the other AABB
- * \return true if current box is inside input box
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-bool AABB::IsInside(const AABB& box) const
-{
- if(box.GetMin(0)>GetMin(0)) return false;
- if(box.GetMin(1)>GetMin(1)) return false;
- if(box.GetMin(2)>GetMin(2)) return false;
- if(box.GetMax(0)<GetMax(0)) return false;
- if(box.GetMax(1)<GetMax(1)) return false;
- if(box.GetMax(2)<GetMax(2)) return false;
- return true;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Computes the AABB planes.
- * \param planes [out] 6 planes surrounding the box
- * \return true if success
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-bool AABB::ComputePlanes(IcePlane* planes) const
-{
- // Checkings
- if(!planes) return false;
-
- IcePoint Center, Extents;
- GetCenter(Center);
- GetExtents(Extents);
-
- // Writes normals
- planes[0].n = IcePoint(1.0f, 0.0f, 0.0f);
- planes[1].n = IcePoint(-1.0f, 0.0f, 0.0f);
- planes[2].n = IcePoint(0.0f, 1.0f, 0.0f);
- planes[3].n = IcePoint(0.0f, -1.0f, 0.0f);
- planes[4].n = IcePoint(0.0f, 0.0f, 1.0f);
- planes[5].n = IcePoint(0.0f, 0.0f, -1.0f);
-
- // Compute a point on each plane
- IcePoint p0 = IcePoint(Center.x+Extents.x, Center.y, Center.z);
- IcePoint p1 = IcePoint(Center.x-Extents.x, Center.y, Center.z);
- IcePoint p2 = IcePoint(Center.x, Center.y+Extents.y, Center.z);
- IcePoint p3 = IcePoint(Center.x, Center.y-Extents.y, Center.z);
- IcePoint p4 = IcePoint(Center.x, Center.y, Center.z+Extents.z);
- IcePoint p5 = IcePoint(Center.x, Center.y, Center.z-Extents.z);
-
- // Compute d
- planes[0].d = -(planes[0].n|p0);
- planes[1].d = -(planes[1].n|p1);
- planes[2].d = -(planes[2].n|p2);
- planes[3].d = -(planes[3].n|p3);
- planes[4].d = -(planes[4].n|p4);
- planes[5].d = -(planes[5].n|p5);
-
- return true;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Computes the aabb points.
- * \param pts [out] 8 box points
- * \return true if success
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-bool AABB::ComputePoints(IcePoint* pts) const
-{
- // Checkings
- if(!pts) return false;
-
- // Get box corners
- IcePoint min; GetMin(min);
- IcePoint max; GetMax(max);
-
- // 7+------+6 0 = ---
- // /| /| 1 = +--
- // / | / | 2 = ++-
- // / 4+---/--+5 3 = -+-
- // 3+------+2 / y z 4 = --+
- // | / | / | / 5 = +-+
- // |/ |/ |/ 6 = +++
- // 0+------+1 *---x 7 = -++
-
- // Generate 8 corners of the bbox
- pts[0] = IcePoint(min.x, min.y, min.z);
- pts[1] = IcePoint(max.x, min.y, min.z);
- pts[2] = IcePoint(max.x, max.y, min.z);
- pts[3] = IcePoint(min.x, max.y, min.z);
- pts[4] = IcePoint(min.x, min.y, max.z);
- pts[5] = IcePoint(max.x, min.y, max.z);
- pts[6] = IcePoint(max.x, max.y, max.z);
- pts[7] = IcePoint(min.x, max.y, max.z);
-
- return true;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Gets vertex normals.
- * \param pts [out] 8 box points
- * \return true if success
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-const IcePoint* AABB::GetVertexNormals() const
-{
- static float VertexNormals[] =
- {
- -INVSQRT3, -INVSQRT3, -INVSQRT3,
- INVSQRT3, -INVSQRT3, -INVSQRT3,
- INVSQRT3, INVSQRT3, -INVSQRT3,
- -INVSQRT3, INVSQRT3, -INVSQRT3,
- -INVSQRT3, -INVSQRT3, INVSQRT3,
- INVSQRT3, -INVSQRT3, INVSQRT3,
- INVSQRT3, INVSQRT3, INVSQRT3,
- -INVSQRT3, INVSQRT3, INVSQRT3
- };
- return (const IcePoint*)VertexNormals;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Returns edges.
- * \return 24 indices (12 edges) indexing the list returned by ComputePoints()
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-const udword* AABB::GetEdges() const
-{
- static udword Indices[] = {
- 0, 1, 1, 2, 2, 3, 3, 0,
- 7, 6, 6, 5, 5, 4, 4, 7,
- 1, 5, 6, 2,
- 3, 7, 4, 0
- };
- return Indices;
-}
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
- * Returns edge normals.
- * \return edge normals in local space
- */
-///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-const IcePoint* AABB::GetEdgeNormals() const
-{
- static float EdgeNormals[] =
- {
- 0, -INVSQRT2, -INVSQRT2, // 0-1
- INVSQRT2, 0, -INVSQRT2, // 1-2
- 0, INVSQRT2, -INVSQRT2, // 2-3
- -INVSQRT2, 0, -INVSQRT2, // 3-0
-
- 0, INVSQRT2, INVSQRT2, // 7-6
- INVSQRT2, 0, INVSQRT2, // 6-5
- 0, -INVSQRT2, INVSQRT2, // 5-4
- -INVSQRT2, 0, INVSQRT2, // 4-7
-
- INVSQRT2, -INVSQRT2, 0, // 1-5
- INVSQRT2, INVSQRT2, 0, // 6-2
- -INVSQRT2, INVSQRT2, 0, // 3-7
- -INVSQRT2, -INVSQRT2, 0 // 4-0
- };
- return (const IcePoint*)EdgeNormals;
-}
-
-// ===========================================================================
-// (C) 1996-98 Vienna University of Technology
-// ===========================================================================
-// NAME: bboxarea
-// TYPE: c++ code
-// PROJECT: Bounding Box Area
-// CONTENT: Computes area of 2D projection of 3D oriented bounding box
-// VERSION: 1.0
-// ===========================================================================
-// AUTHORS: ds Dieter Schmalstieg
-// ep Erik Pojar
-// ===========================================================================
-// HISTORY:
-//
-// 19-sep-99 15:23:03 ds last modification
-// 01-dec-98 15:23:03 ep created
-// ===========================================================================
-
-//----------------------------------------------------------------------------
-// SAMPLE CODE STARTS HERE
-//----------------------------------------------------------------------------
-
-// NOTE: This sample program requires OPEN INVENTOR!
-
-//indexlist: this table stores the 64 possible cases of classification of
-//the eyepoint with respect to the 6 defining planes of the bbox (2^6=64)
-//only 26 (3^3-1, where 1 is "inside" cube) of these cases are valid.
-//the first 6 numbers in each row are the indices of the bbox vertices that
-//form the outline of which we want to compute the area (counterclockwise
-//ordering), the 7th entry means the number of vertices in the outline.
-//there are 6 cases with a single face and and a 4-vertex outline, and
-//20 cases with 2 or 3 faces and a 6-vertex outline. a value of 0 indicates
-//an invalid case.
-
-
-// Original list was made of 7 items, I added an 8th element:
-// - to padd on a cache line
-// - to repeat the first entry to avoid modulos
-//
-// I also replaced original ints with sbytes.
-
-static const sbyte gIndexList[64][8] =
-{
- {-1,-1,-1,-1,-1,-1,-1, 0}, // 0 inside
- { 0, 4, 7, 3, 0,-1,-1, 4}, // 1 left
- { 1, 2, 6, 5, 1,-1,-1, 4}, // 2 right
- {-1,-1,-1,-1,-1,-1,-1, 0}, // 3 -
- { 0, 1, 5, 4, 0,-1,-1, 4}, // 4 bottom
- { 0, 1, 5, 4, 7, 3, 0, 6}, // 5 bottom, left
- { 0, 1, 2, 6, 5, 4, 0, 6}, // 6 bottom, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, // 7 -
- { 2, 3, 7, 6, 2,-1,-1, 4}, // 8 top
- { 0, 4, 7, 6, 2, 3, 0, 6}, // 9 top, left
- { 1, 2, 3, 7, 6, 5, 1, 6}, //10 top, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //11 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //12 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //13 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //14 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //15 -
- { 0, 3, 2, 1, 0,-1,-1, 4}, //16 front
- { 0, 4, 7, 3, 2, 1, 0, 6}, //17 front, left
- { 0, 3, 2, 6, 5, 1, 0, 6}, //18 front, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //19 -
- { 0, 3, 2, 1, 5, 4, 0, 6}, //20 front, bottom
- { 1, 5, 4, 7, 3, 2, 1, 6}, //21 front, bottom, left
- { 0, 3, 2, 6, 5, 4, 0, 6}, //22 front, bottom, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //23 -
- { 0, 3, 7, 6, 2, 1, 0, 6}, //24 front, top
- { 0, 4, 7, 6, 2, 1, 0, 6}, //25 front, top, left
- { 0, 3, 7, 6, 5, 1, 0, 6}, //26 front, top, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //27 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //28 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //29 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //30 -
- {-1,-1,-1,-1,-1,-1,-1, 0}, //31 -
- { 4, 5, 6, 7, 4,-1,-1, 4}, //32 back
- { 0, 4, 5, 6, 7, 3, 0, 6}, //33 back, left
- { 1, 2, 6, 7, 4, 5, 1, 6}, //34 back, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //35 -
- { 0, 1, 5, 6, 7, 4, 0, 6}, //36 back, bottom
- { 0, 1, 5, 6, 7, 3, 0, 6}, //37 back, bottom, left
- { 0, 1, 2, 6, 7, 4, 0, 6}, //38 back, bottom, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //39 -
- { 2, 3, 7, 4, 5, 6, 2, 6}, //40 back, top
- { 0, 4, 5, 6, 2, 3, 0, 6}, //41 back, top, left
- { 1, 2, 3, 7, 4, 5, 1, 6}, //42 back, top, right
- {-1,-1,-1,-1,-1,-1,-1, 0}, //43 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //44 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //45 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //46 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //47 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //48 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //49 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //50 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //51 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //52 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //53 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //54 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //55 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //56 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //57 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //58 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //59 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //60 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //61 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0}, //62 invalid
- {-1,-1,-1,-1,-1,-1,-1, 0} //63 invalid
-};
-
-const sbyte* AABB::ComputeOutline(const IcePoint& local_eye, sdword& num) const
-{
- // Get box corners
- IcePoint min; GetMin(min);
- IcePoint max; GetMax(max);
-
- // Compute 6-bit code to classify eye with respect to the 6 defining planes of the bbox
- int pos = ((local_eye.x < min.x) ? 1 : 0) // 1 = left
- + ((local_eye.x > max.x) ? 2 : 0) // 2 = right
- + ((local_eye.y < min.y) ? 4 : 0) // 4 = bottom
- + ((local_eye.y > max.y) ? 8 : 0) // 8 = top
- + ((local_eye.z < min.z) ? 16 : 0) // 16 = front
- + ((local_eye.z > max.z) ? 32 : 0); // 32 = back
-
- // Look up number of vertices in outline
- num = (sdword)gIndexList[pos][7];
- // Zero indicates invalid case
- if(!num) return null;
-
- return &gIndexList[pos][0];
-}
-
-// calculateBoxArea: computes the screen-projected 2D area of an oriented 3D bounding box
-
-//const IcePoint& eye, //eye point (in bbox object coordinates)
-//const AABB& box, //3d bbox
-//const Matrix4x4& mat, //free transformation for bbox
-//float width, float height, int& num)
-float AABB::ComputeBoxArea(const IcePoint& eye, const Matrix4x4& mat, float width, float height, sdword& num) const
-{
- const sbyte* Outline = ComputeOutline(eye, num);
- if(!Outline) return -1.0f;
-
- // Compute box vertices
- IcePoint vertexBox[8], dst[8];
- ComputePoints(vertexBox);
-
- // Transform all outline corners into 2D screen space
- for(sdword i=0;i<num;i++)
- {
- HPoint Projected;
- vertexBox[Outline[i]].ProjectToScreen(width, height, mat, Projected);
- dst[i] = Projected;
- }
-
- float Sum = (dst[num-1][0] - dst[0][0]) * (dst[num-1][1] + dst[0][1]);
-
- for(int i=0; i<num-1; i++)
- Sum += (dst[i][0] - dst[i+1][0]) * (dst[i][1] + dst[i+1][1]);
-
- return Sum * 0.5f; //return computed value corrected by 0.5
-}
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Contains AABB-related code.
+ * \file IceAABB.cpp
+ * \author Pierre Terdiman
+ * \date January, 29, 2000
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * AABB class.
+ * \class AABB
+ * \author Pierre Terdiman
+ * \version 1.0
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Precompiled Header
+#include "StdAfx.h"
+
+using namespace IceMaths;
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Computes the sum of two AABBs.
+ * \param aabb [in] the other AABB
+ * \return Self-Reference
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+AABB& AABB::Add(const AABB& aabb)
+{
+ // Compute new min & max values
+ IcePoint Min; GetMin(Min);
+ IcePoint Tmp; aabb.GetMin(Tmp);
+ Min.Min(Tmp);
+
+ IcePoint Max; GetMax(Max);
+ aabb.GetMax(Tmp);
+ Max.Max(Tmp);
+
+ // Update this
+ SetMinMax(Min, Max);
+ return *this;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Makes a cube from the AABB.
+ * \param cube [out] the cube AABB
+ * \return cube edge length
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+float AABB::MakeCube(AABB& cube) const
+{
+ IcePoint Ext; GetExtents(Ext);
+ float Max = Ext.Max();
+
+ IcePoint Cnt; GetCenter(Cnt);
+ cube.SetCenterExtents(Cnt, IcePoint(Max, Max, Max));
+ return Max;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Makes a sphere from the AABB.
+ * \param sphere [out] sphere containing the AABB
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+void AABB::MakeSphere(Sphere& sphere) const
+{
+ GetExtents(sphere.mCenter);
+ sphere.mRadius = sphere.mCenter.Magnitude() * 1.00001f; // To make sure sphere::Contains(*this) succeeds
+ GetCenter(sphere.mCenter);
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Checks a box is inside another box.
+ * \param box [in] the other AABB
+ * \return true if current box is inside input box
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+bool AABB::IsInside(const AABB& box) const
+{
+ if(box.GetMin(0)>GetMin(0)) return false;
+ if(box.GetMin(1)>GetMin(1)) return false;
+ if(box.GetMin(2)>GetMin(2)) return false;
+ if(box.GetMax(0)<GetMax(0)) return false;
+ if(box.GetMax(1)<GetMax(1)) return false;
+ if(box.GetMax(2)<GetMax(2)) return false;
+ return true;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Computes the AABB planes.
+ * \param planes [out] 6 planes surrounding the box
+ * \return true if success
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+bool AABB::ComputePlanes(IcePlane* planes) const
+{
+ // Checkings
+ if(!planes) return false;
+
+ IcePoint Center, Extents;
+ GetCenter(Center);
+ GetExtents(Extents);
+
+ // Writes normals
+ planes[0].n = IcePoint(1.0f, 0.0f, 0.0f);
+ planes[1].n = IcePoint(-1.0f, 0.0f, 0.0f);
+ planes[2].n = IcePoint(0.0f, 1.0f, 0.0f);
+ planes[3].n = IcePoint(0.0f, -1.0f, 0.0f);
+ planes[4].n = IcePoint(0.0f, 0.0f, 1.0f);
+ planes[5].n = IcePoint(0.0f, 0.0f, -1.0f);
+
+ // Compute a point on each plane
+ IcePoint p0 = IcePoint(Center.x+Extents.x, Center.y, Center.z);
+ IcePoint p1 = IcePoint(Center.x-Extents.x, Center.y, Center.z);
+ IcePoint p2 = IcePoint(Center.x, Center.y+Extents.y, Center.z);
+ IcePoint p3 = IcePoint(Center.x, Center.y-Extents.y, Center.z);
+ IcePoint p4 = IcePoint(Center.x, Center.y, Center.z+Extents.z);
+ IcePoint p5 = IcePoint(Center.x, Center.y, Center.z-Extents.z);
+
+ // Compute d
+ planes[0].d = -(planes[0].n|p0);
+ planes[1].d = -(planes[1].n|p1);
+ planes[2].d = -(planes[2].n|p2);
+ planes[3].d = -(planes[3].n|p3);
+ planes[4].d = -(planes[4].n|p4);
+ planes[5].d = -(planes[5].n|p5);
+
+ return true;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Computes the aabb points.
+ * \param pts [out] 8 box points
+ * \return true if success
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+bool AABB::ComputePoints(IcePoint* pts) const
+{
+ // Checkings
+ if(!pts) return false;
+
+ // Get box corners
+ IcePoint min; GetMin(min);
+ IcePoint max; GetMax(max);
+
+ // 7+------+6 0 = ---
+ // /| /| 1 = +--
+ // / | / | 2 = ++-
+ // / 4+---/--+5 3 = -+-
+ // 3+------+2 / y z 4 = --+
+ // | / | / | / 5 = +-+
+ // |/ |/ |/ 6 = +++
+ // 0+------+1 *---x 7 = -++
+
+ // Generate 8 corners of the bbox
+ pts[0] = IcePoint(min.x, min.y, min.z);
+ pts[1] = IcePoint(max.x, min.y, min.z);
+ pts[2] = IcePoint(max.x, max.y, min.z);
+ pts[3] = IcePoint(min.x, max.y, min.z);
+ pts[4] = IcePoint(min.x, min.y, max.z);
+ pts[5] = IcePoint(max.x, min.y, max.z);
+ pts[6] = IcePoint(max.x, max.y, max.z);
+ pts[7] = IcePoint(min.x, max.y, max.z);
+
+ return true;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Gets vertex normals.
+ * \param pts [out] 8 box points
+ * \return true if success
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+const IcePoint* AABB::GetVertexNormals() const
+{
+ static float VertexNormals[] =
+ {
+ -INVSQRT3, -INVSQRT3, -INVSQRT3,
+ INVSQRT3, -INVSQRT3, -INVSQRT3,
+ INVSQRT3, INVSQRT3, -INVSQRT3,
+ -INVSQRT3, INVSQRT3, -INVSQRT3,
+ -INVSQRT3, -INVSQRT3, INVSQRT3,
+ INVSQRT3, -INVSQRT3, INVSQRT3,
+ INVSQRT3, INVSQRT3, INVSQRT3,
+ -INVSQRT3, INVSQRT3, INVSQRT3
+ };
+ return (const IcePoint*)VertexNormals;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Returns edges.
+ * \return 24 indices (12 edges) indexing the list returned by ComputePoints()
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+const udword* AABB::GetEdges() const
+{
+ static udword Indices[] = {
+ 0, 1, 1, 2, 2, 3, 3, 0,
+ 7, 6, 6, 5, 5, 4, 4, 7,
+ 1, 5, 6, 2,
+ 3, 7, 4, 0
+ };
+ return Indices;
+}
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+/**
+ * Returns edge normals.
+ * \return edge normals in local space
+ */
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+const IcePoint* AABB::GetEdgeNormals() const
+{
+ static float EdgeNormals[] =
+ {
+ 0, -INVSQRT2, -INVSQRT2, // 0-1
+ INVSQRT2, 0, -INVSQRT2, // 1-2
+ 0, INVSQRT2, -INVSQRT2, // 2-3
+ -INVSQRT2, 0, -INVSQRT2, // 3-0
+
+ 0, INVSQRT2, INVSQRT2, // 7-6
+ INVSQRT2, 0, INVSQRT2, // 6-5
+ 0, -INVSQRT2, INVSQRT2, // 5-4
+ -INVSQRT2, 0, INVSQRT2, // 4-7
+
+ INVSQRT2, -INVSQRT2, 0, // 1-5
+ INVSQRT2, INVSQRT2, 0, // 6-2
+ -INVSQRT2, INVSQRT2, 0, // 3-7
+ -INVSQRT2, -INVSQRT2, 0 // 4-0
+ };
+ return (const IcePoint*)EdgeNormals;
+}
+
+// ===========================================================================
+// (C) 1996-98 Vienna University of Technology
+// ===========================================================================
+// NAME: bboxarea
+// TYPE: c++ code
+// PROJECT: Bounding Box Area
+// CONTENT: Computes area of 2D projection of 3D oriented bounding box
+// VERSION: 1.0
+// ===========================================================================
+// AUTHORS: ds Dieter Schmalstieg
+// ep Erik Pojar
+// ===========================================================================
+// HISTORY:
+//
+// 19-sep-99 15:23:03 ds last modification
+// 01-dec-98 15:23:03 ep created
+// ===========================================================================
+
+//----------------------------------------------------------------------------
+// SAMPLE CODE STARTS HERE
+//----------------------------------------------------------------------------
+
+// NOTE: This sample program requires OPEN INVENTOR!
+
+//indexlist: this table stores the 64 possible cases of classification of
+//the eyepoint with respect to the 6 defining planes of the bbox (2^6=64)
+//only 26 (3^3-1, where 1 is "inside" cube) of these cases are valid.
+//the first 6 numbers in each row are the indices of the bbox vertices that
+//form the outline of which we want to compute the area (counterclockwise
+//ordering), the 7th entry means the number of vertices in the outline.
+//there are 6 cases with a single face and and a 4-vertex outline, and
+//20 cases with 2 or 3 faces and a 6-vertex outline. a value of 0 indicates
+//an invalid case.
+
+
+// Original list was made of 7 items, I added an 8th element:
+// - to padd on a cache line
+// - to repeat the first entry to avoid modulos
+//
+// I also replaced original ints with sbytes.
+
+static const sbyte gIndexList[64][8] =
+{
+ {-1,-1,-1,-1,-1,-1,-1, 0}, // 0 inside
+ { 0, 4, 7, 3, 0,-1,-1, 4}, // 1 left
+ { 1, 2, 6, 5, 1,-1,-1, 4}, // 2 right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, // 3 -
+ { 0, 1, 5, 4, 0,-1,-1, 4}, // 4 bottom
+ { 0, 1, 5, 4, 7, 3, 0, 6}, // 5 bottom, left
+ { 0, 1, 2, 6, 5, 4, 0, 6}, // 6 bottom, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, // 7 -
+ { 2, 3, 7, 6, 2,-1,-1, 4}, // 8 top
+ { 0, 4, 7, 6, 2, 3, 0, 6}, // 9 top, left
+ { 1, 2, 3, 7, 6, 5, 1, 6}, //10 top, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //11 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //12 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //13 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //14 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //15 -
+ { 0, 3, 2, 1, 0,-1,-1, 4}, //16 front
+ { 0, 4, 7, 3, 2, 1, 0, 6}, //17 front, left
+ { 0, 3, 2, 6, 5, 1, 0, 6}, //18 front, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //19 -
+ { 0, 3, 2, 1, 5, 4, 0, 6}, //20 front, bottom
+ { 1, 5, 4, 7, 3, 2, 1, 6}, //21 front, bottom, left
+ { 0, 3, 2, 6, 5, 4, 0, 6}, //22 front, bottom, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //23 -
+ { 0, 3, 7, 6, 2, 1, 0, 6}, //24 front, top
+ { 0, 4, 7, 6, 2, 1, 0, 6}, //25 front, top, left
+ { 0, 3, 7, 6, 5, 1, 0, 6}, //26 front, top, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //27 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //28 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //29 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //30 -
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //31 -
+ { 4, 5, 6, 7, 4,-1,-1, 4}, //32 back
+ { 0, 4, 5, 6, 7, 3, 0, 6}, //33 back, left
+ { 1, 2, 6, 7, 4, 5, 1, 6}, //34 back, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //35 -
+ { 0, 1, 5, 6, 7, 4, 0, 6}, //36 back, bottom
+ { 0, 1, 5, 6, 7, 3, 0, 6}, //37 back, bottom, left
+ { 0, 1, 2, 6, 7, 4, 0, 6}, //38 back, bottom, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //39 -
+ { 2, 3, 7, 4, 5, 6, 2, 6}, //40 back, top
+ { 0, 4, 5, 6, 2, 3, 0, 6}, //41 back, top, left
+ { 1, 2, 3, 7, 4, 5, 1, 6}, //42 back, top, right
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //43 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //44 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //45 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //46 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //47 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //48 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //49 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //50 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //51 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //52 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //53 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //54 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //55 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //56 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //57 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //58 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //59 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //60 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //61 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0}, //62 invalid
+ {-1,-1,-1,-1,-1,-1,-1, 0} //63 invalid
+};
+
+const sbyte* AABB::ComputeOutline(const IcePoint& local_eye, sdword& num) const
+{
+ // Get box corners
+ IcePoint min; GetMin(min);
+ IcePoint max; GetMax(max);
+
+ // Compute 6-bit code to classify eye with respect to the 6 defining planes of the bbox
+ int pos = ((local_eye.x < min.x) ? 1 : 0) // 1 = left
+ + ((local_eye.x > max.x) ? 2 : 0) // 2 = right
+ + ((local_eye.y < min.y) ? 4 : 0) // 4 = bottom
+ + ((local_eye.y > max.y) ? 8 : 0) // 8 = top
+ + ((local_eye.z < min.z) ? 16 : 0) // 16 = front
+ + ((local_eye.z > max.z) ? 32 : 0); // 32 = back
+
+ // Look up number of vertices in outline
+ num = (sdword)gIndexList[pos][7];
+ // Zero indicates invalid case
+ if(!num) return null;
+
+ return &gIndexList[pos][0];
+}
+
+// calculateBoxArea: computes the screen-projected 2D area of an oriented 3D bounding box
+
+//const IcePoint& eye, //eye point (in bbox object coordinates)
+//const AABB& box, //3d bbox
+//const Matrix4x4& mat, //free transformation for bbox
+//float width, float height, int& num)
+float AABB::ComputeBoxArea(const IcePoint& eye, const Matrix4x4& mat, float width, float height, sdword& num) const
+{
+ const sbyte* Outline = ComputeOutline(eye, num);
+ if(!Outline) return -1.0f;
+
+ // Compute box vertices
+ IcePoint vertexBox[8], dst[8];
+ ComputePoints(vertexBox);
+
+ // Transform all outline corners into 2D screen space
+ for(sdword i=0;i<num;i++)
+ {
+ HPoint Projected;
+ vertexBox[Outline[i]].ProjectToScreen(width, height, mat, Projected);
+ dst[i] = Projected;
+ }
+
+ float Sum = (dst[num-1][0] - dst[0][0]) * (dst[num-1][1] + dst[0][1]);
+
+ for(int i=0; i<num-1; i++)
+ Sum += (dst[i][0] - dst[i+1][0]) * (dst[i][1] + dst[i+1][1]);
+
+ return Sum * 0.5f; //return computed value corrected by 0.5
+}
generated by cgit v1.1 at 2024-11-05 02:10:57 +0000